Greatest Common Factor of 6234 and 6240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6234, 6240 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6234 and 6240 is 6.

GCF(6234,6240) = 6

GCF of 6234 and 6240

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6234 and 6240

GCF of 6234 and 6240 is 6

Prime Factorization of 6234


2 6234
3 3117
1039 1039
1

Prime factors of 6234 are 2,3,1039. Prime factorization of 6234 in exponential form is:

6234 = 21×31×10391

Prime Factorization of 6240


2 6240
2 3120
2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 6240 are 2,3,5,13. Prime factorization of 6240 in exponential form is:

6240 = 25×31×51×131

∴ So by taking common prime factors GCF of 6234 and 6240 is 6

Greatest Common Factor of 6234 and 6240 by matching factors method

Factors of 6234

List of positive integer factors of 6234 that divides 6234 without a remainder.

1,2,3,6,1039,2078,3117,6234

Factors of 6240

List of positive integer factors of 6240 that divides 6240 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240

Greatest Common Factor

We found the factors and prime factorization of 6234 and 6240. The biggest common factor number is the GCF number.
So the greatest common factor 6234 and 6240 is 6.

Also check out the Least Common Multiple of 6234 and 6240

Properties of GCF 6234 and 6240

(i) The GCF of 6234 and 6240 is associative

GCF of 6234 and 6240 = GCF of 6240 and 6234

Related Greatest Common Factor of 6234

Related Greatest Common Factor of 6240

Frequently Asked Questions on GCF of 6234 and 6240

1. What is the GCF of 6234 and 6240?

Answer: GCF of 6234 and 6240 is 6.

2. What are the Factors of 6234?

Answer: Factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234. There are 8 integers that are factors of 6234. The greatest factor of 6234 is 6234.

3. What are the Factors of 6240?

Answer: Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240. There are 48 integers that are factors of 6240. The greatest factor of 6240 is 6240.

4. How to Find the GCF of 6234 and 6240?

Answer:

Greatest Common Factor of 6234 and 6240 = 6

Step 1: Find the prime factorization of 6234

6234 = 2 x 3 x 1039

Step 2: Find the prime factorization of 6240

6240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6234 and 6240 is 6